Heinz Lueneburg

Heinz Lüneburg (1972)

Heinrich "Heinz" Lüneburg (born March 30, 1935 in Bonn ; † January 19, 2009 in Kaiserslautern ) was a German mathematician who dealt with combinatorics, geometry and algebra.

Lüneburg received his doctorate in 1962 at the Johann Wolfgang Goethe University in Frankfurt under Reinhold Baer (and Ruth Moufang ) ( Affine Hjelmslevebenen with transitive translation group. Mathematische Zeitschrift Volume 79, 1962, p. 260). In 1963 he went to the Johannes Gutenberg University in Mainz , where he completed his habilitation in 1964. From 1970 he was a professor at the then newly founded University of Kaiserslautern , where he helped to build up the mathematics department. He turned down an offer to Bayreuth in 1975. In 2003 he retired.

Among other things, Lüneburg dealt with finite geometries, which he examined using group-theoretical methods. For example, in 1964 he proved that finite projective planes of order with collineation group (automorphism group) , where the power of a prime number is, are Desargues planes. He also examined projective planes with the simple finite Suzuki groups as collineation groups (Abhandlungen Math.Seminar Hamburg 1965). Later his interests shifted to algorithmic algebra and the history of mathematics. ${\displaystyle n}$ ${\displaystyle PSL(2,n)}$ ${\displaystyle n}$

His work on the history of mathematics emerged from the intensive study of primary sources ( Leonardo da Pisa , Cardano , Tartaglia ) with a pronounced curiosity at the same time for linguistic, chronological and cultural-historical details, which can also be found in the style of presentation in the form of countless digressions, digressions and woven personal observations. His book on the Liber Abbaci of Leonardo da Pisa, while in itself expressly declared by him only as a document of its mathematical "reading pleasure" without claim to historical science, is in the impartiality and accuracy of the analysis of the text makes it unique in Leonardoforschung and the most important German-language contribution in this area.

Fonts

• Combinatorics. Elements of mathematics from a higher point of view Volume 5, Birkhäuser 1971, ISBN 978-3-7643-0548-2 , doi: 10.1007 / 978-3-0348-5772-7 .
• Introduction to Algebra. Hochschultext, Springer 1973 (Lineare Algebra), ISBN 978-3-540-06260-8 , doi: 10.1007 / 978-3-642-86497-1 .
• Lectures on linear algebra. Provided with the algebra necessary for their understanding as well as some remarks on their didactics. BI Wissenschaftsverlag 1993.
• Lectures on number theory. Elements of mathematics from a higher point of view, Volume 8, Birkhäuser 1978, ISBN 978-3-7643-0932-9 , doi: 10.1007 / 978-3-0348-5330-9 .
• Galois fields, circle division fields and shift register sequences. BI Wissenschaftsverlag 1979.
• Translation Planes. Springer 1980, ISBN 3-540-09614-0 , doi: 10.1007 / 978-3-642-67412-9
• The Suzuki groups and their geometries. Lecture Notes in Mathematics Volume 10, Springer 1965, ISBN 978-3-540-03353-0 , doi: 10.1007 / BFb0082211
• On the Rational Normal Form of Endomorphisms. A Primer to Constructive Algebra. BI Wissenschaftsverlag 1987.
• Little primer of arithmetic. Textbooks and monographs on didactics of mathematics, Volume 8, BI Wissenschaftsverlag 1987 (algorithms of elementary number theory).
• Tools and Fundamental Constructions of Combinatorial Mathematics. BI Wissenschaftsverlag 1989.
• Leonardi Pisani Liber Abbaci or a mathematician's reading pleasure. BI Wissenschaftsverlag 1992, 2nd edition 1993.
• Groups, rings, bodies. The basic structures of algebra. Oldenbourg Verlag 1999, ISBN 3-486-24977-0 , doi: 10.1524 / 9783486599022
• The Euclidean plane and its relatives. Birkhäuser 1999, ISBN 3-7643-5685-5 , doi: 10.1007 / 978-3-0348-8873-8 .
• Characterizations of the finite Desargue's projective planes. In: Mathematical Journal. Volume 85, 1964, p. 419.
• Group theoretic methods in geometry . In: German Mathematicians Association (ed.): Annual report of the German Mathematicians Association . tape 70 . Teubner, 1967, ISSN  0012-0456 , p. 16–51 ( uni-goettingen.de ).
• About numbers and sizes. Three and a half thousand years of theory and practice. Birkhäuser 2008, 2 volumes, ISBN 978-3-7643-8776-1 , doi: 10.1007 / 978-3-7643-8777-8 , ISBN 978-3-7643-8778-5 , doi: 10.1007 / 978-3- 7643-8779-2 .
• Number theory. 1st edition 2010, Oldenbourg Wissenschaftsverlag, ISBN 978-3-486-59680-9 , doi: 10.1524 / 9783486711554
• Sizes and Numbers. 1st edition 2010, Oldenbourg Wissenschaftsverlag, ISBN 978-3-486-59679-3 , doi: 10.1524 / 9783486711561

Web links

• Literature by and about Heinz Lüneburg in the catalog of the German National Library
• Homepage at the University of Kaiserslautern ( Memento from December 7, 2007 in the Internet Archive )
• Obituary from the University of Kaiserslautern
• Heinrich Lüneburg in the Mathematics Genealogy Project (English)